LCM of 403, 725, 754, 992, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 725, 754, 992, 184 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 403, 725, 754, 992, 184. So, keep reading to learn more.
Given numbers are 403,725,754,992,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,725,754,992,184 is 215040800.
Find LCM of 403,725,754,992,184 with Prime Factorization
| 2 | 403, 725, 754, 992, 184 |
| 2 | 403, 725, 377, 496, 92 |
| 2 | 403, 725, 377, 248, 46 |
| 13 | 403, 725, 377, 124, 23 |
| 29 | 31, 725, 29, 124, 23 |
| 31 | 31, 25, 1, 124, 23 |
| 1, 25, 1, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 29 x 31 x 1 x 25 x 1 x 4 x 23 = 215040800
Therefore, the lowest common multiple of 403,725,754,992,184 is 215040800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
403 x 725 x 754 x 992 x 184 = 40210909273600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
403 : 1, 13, 31, 403
725 : 1, 5, 25, 29, 145, 725
754 : 1, 2, 13, 26, 29, 58, 377, 754
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,725,754,992,184, is 1.
Now, the common factors can be found like this.
403:13x 31
725:5x 5x 29
754:2x 13x 29
992:2x 2x 2x 2x 2x 31
184:2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 13x 29x 31 = 186992
Therefore, the value for common factors is 186992.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 40210909273600/(1x186992)
LCM = 40210909273600/186992
LCM = 215040800
Thus, we can understand that the LCM of 403,725,754,992,184 is 215040800.
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FAQs on LCM of 403, 725, 754, 992, 184
1. What is the LCM of 403, 725, 754, 992, 184?
Answer: LCM of 403, 725, 754, 992, 184 is 215040800.
2. How to calculate the LCM of 403, 725, 754, 992, 184?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 403, 725, 754, 992, 184.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.